Remarks on nonlinear ergodic theory
✍ Scribed by H Brézis; F.E Browder
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 488 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0001-8708
No coin nor oath required. For personal study only.
✦ Synopsis
The development of general ergodic theory for nonlinear operators was begun by Baillon in [l], where he considered a nonexpansive mapping U of a Hilbert space H into H, formed the Cesaro means IW4, U(Y)> -(x2 Yl G 4 x II2 -II ww + II Y /I2 -II ~(YN2>~ (4) which would follow from the assumption that U is odd, then under a further "properness" condition on the summation method {u,,~}, which holds for 165 Copyright
📜 SIMILAR VOLUMES
We prove several existence results for G-mild solutions of nonlinear evolution Ž . equations 1 , which generalize the results of M. G. Crandall and P. E. Souganidis Ž . Nonlinear Anal. 13, No. 12, 1989, 1375᎐1392 . We also discuss the regularity properties of the solutions.